Summary

This paper deals with the study of difference and functional equations in the setting of fuzzy theory. This study has been initiated in [¹], [^2], [³], and [⁴]. In the analysis of many systems governed by such equations, one is faced with uncertainties due to imprecise measurements or lack of complete information. Indeed, the closer one looks at a real-world problem, the more apparent inherent uncertainties become. Parameters such as probability distributions, metabolic rates, genetic fitness, and other measurements that arise in the modeling of problems in economics, genetics, and population dynamics are rarely precisely known. Fuzzy set theory then becomes a natural setting for the definition of such quantities.